GCF of 841/76, 319/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 841/76, 319/660 i.e 29/12540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 841/76, 319/660.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 841/76,319/660?
Given fractions are 841/76,319/660
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 841/76,319/660, numerators are 841,319
Denominators are 76,660
The GCF of 841,319 is 29 .
LCM of 76,660 is 12540.
The greatest common factor of 841/76,319/660 = [GCF of 841,319]/[LCM of 76,660]= 29/12540
Therefore, the GCF of 841/76,319/660 is 29/12540.
To find the highest common factor of 841,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 841 are 1, 29, 841
The factors of 319 are 1, 11, 29, 319
The HCF of 841,319 is 29.
Lets's calculate GCF of 841,319
| 29 | 841, 319 |
| 29, 11 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 841,319 By Matching Biggest Common Factor Method
Now, list down the factors of 841
:1,29,841
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 841,319 . The biggest common factor number is the GCF number.
So the greatest common factor 841,319 is 29.
Lets's calculate LCM of 76,660
| 2 | 76, 660 |
| 2 | 38, 330 |
| 19, 165 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 165 = 12540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/12540
Therefore, the GCF of Fractions 841/76,319/660 is 29/12540
Least Common Multiple of 76,660 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 76,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,660) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,660) x common factors =4 x 1 = 4
LCM(76,660) = ( 76 × 660 ) / 4
LCM(76,660) = 50160 / 4
LCM(76,660) = 12540
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FAQs on GCF of Fractions of 841/76, 319/660
1. What is the HCF of 841,319?
The HCF of 841,319 is 29
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 841/76, 319/660?
Answer: GCF of Numerators as per given numbers 841/76, 319/660 is
GCF of Numerators i.e. for 841,319 is 29
LCM of denominators i.e. for 76,660 is 12540.
Thus, GCF of Fractions is 29/12540.Finally, GCF of Fractions for 841/76, 319/660 is 29/12540.